Bivector

Struct Bivector 

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pub struct Bivector<const P: usize, const Q: usize, const R: usize> {
    pub mv: Multivector<P, Q, R>,
}
Expand description

Bivector type - wrapper around Multivector with only grade 2

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§mv: Multivector<P, Q, R>

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impl<const P: usize, const Q: usize, const R: usize> Bivector<P, Q, R>

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pub fn from_components(xy: f64, xz: f64, yz: f64) -> Self

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pub fn e12() -> Self

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pub fn e13() -> Self

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pub fn e23() -> Self

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pub fn from_multivector(mv: &Multivector<P, Q, R>) -> Self

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pub fn geometric_product(&self, other: &Vector<P, Q, R>) -> Multivector<P, Q, R>

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pub fn geometric_product_with_bivector( &self, other: &Self, ) -> Multivector<P, Q, R>

Geometric product with another bivector

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pub fn magnitude(&self) -> f64

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pub fn get(&self, index: usize) -> f64

Index access for bivector components

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pub fn inner_product(&self, other: &Self) -> Multivector<P, Q, R>

Inner product with another bivector

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pub fn inner_product_with_vector( &self, other: &Vector<P, Q, R>, ) -> Multivector<P, Q, R>

Inner product with a vector

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pub fn outer_product(&self, other: &Self) -> Multivector<P, Q, R>

Outer product with another bivector

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pub fn outer_product_with_vector( &self, other: &Vector<P, Q, R>, ) -> Multivector<P, Q, R>

Outer product with a vector

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pub fn right_contraction(&self, other: &Vector<P, Q, R>) -> Multivector<P, Q, R>

Right contraction with vector

Trait Implementations§

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impl<const P: usize, const Q: usize, const R: usize> Clone for Bivector<P, Q, R>

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fn clone(&self) -> Bivector<P, Q, R>

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<const P: usize, const Q: usize, const R: usize> Debug for Bivector<P, Q, R>

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<const P: usize, const Q: usize, const R: usize> Index<usize> for Bivector<P, Q, R>

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type Output = f64

The returned type after indexing.
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fn index(&self, index: usize) -> &Self::Output

Performs the indexing (container[index]) operation. Read more
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impl<const P: usize, const Q: usize, const R: usize> PartialEq for Bivector<P, Q, R>

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fn eq(&self, other: &Bivector<P, Q, R>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<const P: usize, const Q: usize, const R: usize> StructuralPartialEq for Bivector<P, Q, R>

Auto Trait Implementations§

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impl<const P: usize, const Q: usize, const R: usize> Freeze for Bivector<P, Q, R>

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impl<const P: usize, const Q: usize, const R: usize> RefUnwindSafe for Bivector<P, Q, R>

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impl<const P: usize, const Q: usize, const R: usize> Send for Bivector<P, Q, R>

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impl<const P: usize, const Q: usize, const R: usize> Sync for Bivector<P, Q, R>

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impl<const P: usize, const Q: usize, const R: usize> Unpin for Bivector<P, Q, R>

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impl<const P: usize, const Q: usize, const R: usize> UnwindSafe for Bivector<P, Q, R>

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Az for T

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fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

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fn cast_from(src: Src) -> Dst

Casts the value.
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impl<T> CheckedAs for T

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fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.
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impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

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fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> OverflowingAs for T

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fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.
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impl<Src, Dst> OverflowingCastFrom<Src> for Dst
where Src: OverflowingCast<Dst>,

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fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.
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impl<T> SaturatingAs for T

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fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.
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impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

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fn saturating_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> UnwrappedAs for T

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fn unwrapped_as<Dst>(self) -> Dst
where T: UnwrappedCast<Dst>,

Casts the value.
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impl<Src, Dst> UnwrappedCastFrom<Src> for Dst
where Src: UnwrappedCast<Dst>,

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fn unwrapped_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> WrappingAs for T

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fn wrapping_as<Dst>(self) -> Dst
where T: WrappingCast<Dst>,

Casts the value.
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impl<Src, Dst> WrappingCastFrom<Src> for Dst
where Src: WrappingCast<Dst>,

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fn wrapping_cast_from(src: Src) -> Dst

Casts the value.